{"title":"On Semi-Cover-Avoiding 2-Maximal Subgroups of Finite Groups","authors":"Tingting Qiu, Xindan Chen, Juping Tang","doi":"10.15672/hujms.1112482","DOIUrl":null,"url":null,"abstract":"A subgroup H of a finite group G is said to be “semi-cover-avoiding in G”, if there exists a chief series of G such that H covers or avoids every chief factor of\nthe chief series. In this article, we will consider some 2-maximal subgroups with the property of semi-cover-avoiding of a group G and explore the structure of G.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"34 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2023-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Hacettepe Journal of Mathematics and Statistics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.15672/hujms.1112482","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
A subgroup H of a finite group G is said to be “semi-cover-avoiding in G”, if there exists a chief series of G such that H covers or avoids every chief factor of
the chief series. In this article, we will consider some 2-maximal subgroups with the property of semi-cover-avoiding of a group G and explore the structure of G.
期刊介绍:
Hacettepe Journal of Mathematics and Statistics covers all aspects of Mathematics and Statistics. Papers on the interface between Mathematics and Statistics are particularly welcome, including applications to Physics, Actuarial Sciences, Finance and Economics.
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